Subsonic Euler flows in a divergent nozzle

We characterize a class of physical boundary conditions that guarantee the existence and uniqueness of the subsonic Euler flow in a general finitely long nozzle. More precisely, by prescribing the incoming flow angle and the Bernoulli’s function at the inlet and the end pressure at the exit of the nozzle, we establish an existence and uniqueness theorem for subsonic Euler flows in a 2-D nozzle, which is also required to be adjacent to some special background solutions. Such a result can also be extended to the 3-D asymmetric case.